Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!

# If alpha and beta be the coefficients of

Question:

If $\alpha$ and $\beta$ be the coefficients of $x^{4}$ and $x^{2}$ respectively in the expansion of

$\left(x+\sqrt{x^{2}-1}\right)^{6}+\left(x-\sqrt{x^{2}-1}\right)^{6}$, then

1. $\alpha+\beta=60$

2. $\alpha+\beta=-30$

3. $\alpha-\beta=-132$

4. $\alpha-\beta=60$

Correct Option: , 3

Solution: